# 401-4915-00L  Risk Theory for Insurance

 Semester Autumn Semester 2013 Lecturers M. V. Wüthrich Periodicity yearly course Language of instruction English

 Abstract This course gives an introduction to insurance risk theory. It serves as a basis for later courses on non-life insurance mathematics, risk management (in finance) and re-insurance. Topics included are claims processes, models for claims frequency and severity, ruin theory, modelling of large claims. Objective The student is familiar with the basics of non-life insurance premium calculation. Moreover, he knows the basic results in ruin theory and is able to distinguish short-tailed claims behaviour from heavy-tailed claims behaviour. Content The following topics are treated:1. The Basic Insurance Claims Model2. Premium Calculation Principles2. Models for the Claims Number Process3. Models for Claims Severity4. The Total Claim Amount (TCA) Modelling5. Approximations for the TCA Distributions6. Ruin Theory7. The Modelling of Large Claims Literature Literature for further reading:- M. V. Wüthrich, Non-Life Insurance: Mathematics & Statisticshttp://ssrn.com/abstract=2319328- H. Schmidli, Lecture Notes on Risk Theory http://www.math.ku.dk/~schmidli/rt.pdf- T. Mikosch (2004). Non-Life Insurance Mathematics. An Introduction with Stochastic Processes. Springer, Berlin.- S. Asmussen (2000). Ruin Probabilities. World Scientific, Singapore.- T. Rolski, H. Schmidli, V. Schmidt, J. Teugels (1999). Stochastic Processes for Insurance and Finance. Wiley, Chichester. Prerequisites / Notice The exams ONLY take place during the official ETH examination period.This course will be held in English and counts towards the diploma of "Aktuar SAV". For the latter, see details under www.actuaries.ch.Prerequisites: knowledge of probability theory, statistics and applied stochastic processes.